Using conservation of energy to find spring constant but off number

In summary, the conversation discusses the calculation of the spring constant for a metal sphere oscillating on a vertical spring. The speaker suggests that the answer should be 180N/m unless there is a mistake in their work, specifically with the initial and final heights. They also mention the decrease in speed and the potential energy of the system.
  • #1
slambert56
20
0
Okay so I think the answer should be 180N/m unless the book is wrong and I got 114N/m. Now if there is a mistake in my work shown in the picture it would have to be the height final or height initial. I am going with height inital is the x initial and the height final equals the x final.(I think this is correct)

question; a .60kg metal sphere oscillates at the end of a vertical spring. as teh spring stretches from .12 to .23m(relative to its unstrained length) the speed of the sphere decreases from 5.7 to 4.80m/s. what is the spring constant of the spring?
http://img231.imageshack.us/img231/8118/001ql.jpg

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sorry for the work on the back that you can see. any help would be greatly appreciated!
 
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  • #2
As the spring stretches, the mass is at a lesser height, therefore has less gravitational potential energy, but more potential energy due to the spring.

You could consider the height to be -x.
 

FAQ: Using conservation of energy to find spring constant but off number

What is conservation of energy?

Conservation of energy is a fundamental principle in physics that states that energy cannot be created or destroyed, but can only be transformed from one form to another. In other words, the total energy of a closed system remains constant over time.

How can conservation of energy be used to find the spring constant?

The principle of conservation of energy can be applied to a system involving a spring to find its spring constant. This can be done by measuring the potential energy of the spring at different points and equating it to the kinetic energy of the system.

What is the formula for finding spring constant using conservation of energy?

The formula for finding spring constant using conservation of energy is: k = (2mgh)/x^2, where k is the spring constant, m is the mass, g is the acceleration due to gravity, h is the height, and x is the displacement of the spring from its equilibrium position.

Can conservation of energy be used to find the spring constant for an off number of mass?

Yes, conservation of energy can be used to find the spring constant for any mass, including an off number. As long as the measurements are accurate and consistent, the formula will still apply.

What are some practical applications of using conservation of energy to find spring constant?

The ability to accurately determine the spring constant using conservation of energy has many practical applications in fields such as engineering, physics, and material science. It can be used in the design and testing of springs for various devices, such as car suspensions, pogo sticks, and mattresses. It can also be used to study the properties of different materials and their elasticity.

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